Three coins are tossed once. Find the probability of getting: all heads (ii) at least two heads (iii) at most two heads (iv)  no heads    (v) exactly one tail    (vi) exactly 2 tails (vii) a head on first coin.

Explanation

To solve the problem of finding the probabilities of various outcomes when three coins are tossed, we first need to determine the total number of possible outcomes.

### Step 1: Determine the Total Outcomes
When three coins are tossed, each coin has 2 possible outcomes: heads (H) or tails (T). Therefore, the total number of outcomes when tossing three coins is given by:
\[ \text{Total Outcomes} = 2^3 = 8 \]
The possible outcomes are:
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